Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

Name: Solved: Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get? - MathMaster
Brand: MathMaster
Rating: 4.9 (245 reviews)

245

likes

1227 views

Answer to a math question Juan has 2 ropes of 180m and 240m respectively. You want to cut both ropes into equal pieces. What is the maximum length that each piece can have? How many pieces of rope of maximum length can he get?

$Expert avatar$

Madelyn

4.7

86 Answers

Encontremos la longitud máxima de cada trozo que Juan puede obtener cortando las cuerdas en segmentos iguales. Longitudes de cuerda: Juan tiene dos cuerdas: una tiene 180 metros de largo y la otra 240 metros de largo. Máximo común divisor (MCD): para determinar la longitud máxima de cada pieza, calcularemos el máximo común divisor (MCD) de las longitudes de las cuerdas. El MCD representa la longitud más grande que divide uniformemente ambas cuerdas. Cálculo del MCD: El MCD de 180 y 240 es de 60 metros. Longitud Máxima de Cada Pieza: Juan puede cortar ambas cuerdas en trozos iguales de 60 metros cada uno. Numero de piezas: Para la cuerda de 180 metros, Juan obtendrá 3 trozos (180 ÷ 60 = 3). Para la cuerda de 240 metros, Juan obtendrá 4 trozos (240 ÷ 60 = 4). En resumen, Juan podrá obtener piezas de 60 metros cada una, y tendrá un total de 7 piezas (3 de la cuerda de 180 metros y 4 de la cuerda de 240 metros).

Frequently asked questions (FAQs)

Find the solutions of the quadratic equation: 2x^2 - 5x + 3 = 0.

What is the result of multiplying a vector u = (1, -2, 3) by a scalar t = 4?

Math question: What is the derivative of f(x) = 3x^4 - 2x^2 + 5x - 1?

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

Solution of the equation y'' - y' -6y = 0

find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.

-8+3/5

The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?

A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?

A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?